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Finding the Third Proportional to 27,523.50 and 60,423

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Solution

The third proportional to 27,523.50 and 60,423 is: 132,648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,523.50 : 60,423 = 60,423 : x
  2. Step 2: Convert to fraction form
    27,523.50/60,423 = 60,423/x
  3. Step 3: Cross multiply
    27,523.50x = 60,423 × 60,423
  4. Step 4: Simplify right side
    27,523.50x = 3,650,938,929
  5. Step 5: Solve for x
    x = 3,650,938,929/27,523.50
  6. Step 6: Final answer
    x = 132,648.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.